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Finding the Third Proportional to 5,042.25 and 11,090.25

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Solution

The third proportional to 5,042.25 and 11,090.25 is: 24,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.25 : 11,090.25 = 11,090.25 : x
  2. Step 2: Convert to fraction form
    5,042.25/11,090.25 = 11,090.25/x
  3. Step 3: Cross multiply
    5,042.25x = 11,090.25 × 11,090.25
  4. Step 4: Simplify right side
    5,042.25x = 122,993,645.06
  5. Step 5: Solve for x
    x = 122,993,645.06/5,042.25
  6. Step 6: Final answer
    x = 24,392.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.